1. use the following picture for this question:

a. find both the exact and approximate value of the blue dotted side (rounded to the nearest tenth).

b. use your approximate answer from part a to find the side length of x. round your answer for x to the nearest tenth.

Part a)

Exact value 24√3 units

Approximate value 41.6 units

Part b) x=52.1 units

Step-by-step explanation:

Part a)

step 1

Find the exact value

Let

h-------> the blue dotted line

we know that

tan(60°)=h/24

h=tan(60°)*24

Remember that

tan(60°)=√3

substitute

h=24√3 units

step 2

Find the approximate value

h=24√3=41.6 units

Part b)

we know that

sin(53°)=41.6/x

x=41.6/sin(53°)=52.1 units

45

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)